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Finding the Fourth Proportional to 9,577.70, 14,366.52 and 3,004.38

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Solution

The fourth proportional to 9,577.70, 14,366.52 and 3,004.38 is: 4,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.70 : 14,366.52 = 3,004.38 : x
  2. Step 2: Convert to fraction form
    9,577.70/14,366.52 = 3,004.38/x
  3. Step 3: Cross multiply
    9,577.70x = 14,366.52 × 3,004.38
  4. Step 4: Simplify right side
    9,577.70x = 43,162,485.36
  5. Step 5: Solve for x
    x = 43,162,485.36/9,577.70
  6. Step 6: Final answer
    x = 4,506.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.